Magyarul
TP model based canonical and various convex manipulations for LPV models
- Department: 3D Internet-based Control and Communications Research Laboratory
Start date: 2009. 09. 01.
End date: 2014. 08. 31.
External identifier: NKTH-ERC_HU_09_MTASZTAK
Cost: 92.5 MFt
Project manager
- Péter Zoltán Baranyi
- Address: 1111 Budapest, Kende u. 13-17.
Room number: K 611
Phone: +36 1 279 6111
Fax: +36 1 279 6218, +36 1 466 7503
E-mail: baranyi.peter@sztaki.mta.hu
Homepage: http://3dicc.sztaki.hu/baranyi.php
Members
- Béla Takarics
- Address: 1111 Budapest, Kende u. 13-17.
Room number: K 623
Phone: +36 1 279 6000 / 7213
E-mail: takarics.bela@sztaki.mta.hu
Homepage: http://3dicc.sztaki.hu/staff.php
- Péter Galambos
- Address: 1111 Budapest, Kende u. 13-17.
Room number: K 623
Phone: +36 1 279 6000 / 7213
Fax: +36 1 279 6218
E-mail: galambos.peter@sztaki.mta.hu
- József Kuti
- Address: 1111 Budapest, Kende u. 13-17.
Room number: K 623
Phone: +36 1 279 6000 / 7213
E-mail: kuti.jozsef@sztaki.mta.hu
Description
Linear Parameter Varying (LPV) representations of dynamic models and Linear Matrix Inequality (LMI) based feasibility play a central role in modern control theory. The PI introduced a definition of the Higher Order Singular Valued Decomposition (HOSVD) based canonical form of LPV models, which is the first unique representation of LPV models, and developed the Tensor Product (TP) model transformation, which is capable of numerically reconstructing this canonical form. The TP model transformation is also capable of generating various convex polytopic representations of LPV models, upon which LMI-based analysis and design are immediately applicable. This HOSVD-based canonical form and the TP model transformation based methodology of the uniform and automatic generation of convex polytopic models are new in control theory, and lead to new analysis and design concepts in various aspects. The need for such concepts is supported by the conjecture that the manipulation of the type of the convex hull would in many cases be more powerful in multi-objective control design than the analytical derivations of further LMI systems.